Chapter 8 - Review - Case Study - Sampling Distribution of the Median - Page 424: 7

The standard deviation of the mean of the sample decreases when the size of the sample increases. The standard deviation of the median of the sample decreases when the size of the sample increases.

It can be seen from the results of Problem 5 that the standard deviation of the mean of the sample decreases when the size of sample increases. For the sample size 10, the standard deviation is 3.3007. For the sample size 20, the standard deviation is 2.05. For the sample size 40, the standard deviation is 1.47. For the sample size 80, the standard deviation is 1.06. So, it is concluded that the increment in size leads to the decrement in the standard deviation of the mean of the sample. It can be seen from the results of Problem 5 that the standard deviation of the sample median decreases when the size of sample increases. For the sample size 10, the standard deviation is 4.04. For the sample size 20, the standard deviation is 2.52. For the sample size 40, the standard deviation is 1.92. For the sample size 80, the standard deviation is 1.40. So, it is concluded that increment in size leads to decrement in the standard deviation of sample median.